The earliest recorded beginnings of geometry can be traced back to ancient Mesopotamia and Egypt in the 2nd millennium BC. Early geometry was a collection of empirically discovered principles used for practical applications like surveying, construction, astronomy, and crafts. Some of the earliest known texts on geometry are the Egyptian Rhind Papyrus and Moscow Papyrus, as well as Babylonian clay tablets like Plimpton 322, which date back to around 1900 BC. For example, the Moscow Papyrus contains a formula for calculating the volume of a truncated pyramid.

2. The earliest recorded beginnings of geometry can be traced to
ancient Mesopotamia and Egypt in the 2nd millennium
BC. Early geometry was a collection of empirically discovered
principles concerning lengths, angles, areas, and volumes,
which were developed to meet some practical need
in surveying, construction, astronomy, and various crafts.
The earliest known texts on geometry are the Egyptian Rhind
Papyrus (2000–1800 BC) and Moscow Papyrus (c. 1890 BC),
the Babylonian clay tablets such as Plimpton 322 (1900 BC).
For example, the Moscow Papyrus gives a formula for
calculating the volume of a truncated pyramid, or frustum.

3.  The theme of symmetry in geometry is nearly as old as the science of geometry itself. Symmetric shapes such as the circle, regular
polygons and platonic solids held deep significance for many ancient philosophers and were investigated in detail before the time of Euclid. Symmetric
patterns occur in nature and were artistically rendered in a multitude of forms, including the graphics of M. C. Escher.
 Nonetheless, it was not until the second half of 19th century that the unifying role of symmetry in foundations of geometry was recognized. Felix
Klein's Erlangen program proclaimed that, in a very precise sense, symmetry, expressed via the notion of a transformation group, determines what
geometry is.
 Symmetry in classical Euclidean geometry is represented by congruences and rigid motions, whereas in projective geometry an analogous role is
played by collineations, geometric transformations that take straight lines into straight lines.

4. • Geometry is a branch of mathematics concerned with questions of
shape, size, relative position of figures, and the properties of space.
• A mathematician who works in the field of geometry is called a
geometer.

5. • ARCHES ARE USED TO
WITHSTAND
MAXIMUM WEIGHT .
• STRUCTURAL
DESIGNS USE TO
WITHSTAND FORCE
OF NATURE

6. Symmetry in Leaf

8. Inclined Angle =
60 degree
Each Stair Angle =
90 degree

9. By : Pratham Gupta